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Finding the Fourth Proportional to 2,631.87, 3,948.34 and 782.82

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Solution

The fourth proportional to 2,631.87, 3,948.34 and 782.82 is: 1,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.87 : 3,948.34 = 782.82 : x
  2. Step 2: Convert to fraction form
    2,631.87/3,948.34 = 782.82/x
  3. Step 3: Cross multiply
    2,631.87x = 3,948.34 × 782.82
  4. Step 4: Simplify right side
    2,631.87x = 3,090,837.56
  5. Step 5: Solve for x
    x = 3,090,837.56/2,631.87
  6. Step 6: Final answer
    x = 1,174.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.